Question

Block m slides down on frictionless incline. Find mininmum friction coefficient so that m does not slide with respect to m.

Answer 1

The block does not slide if the co-efficient of the friction will be tanΦ

Explanation :

Let the slope of the inclination is Ф

Hence component of weight along the slide = mgsinФ

Normal component of weight , N = mgcos

=> force of friction = F = μN = μmgcosΦ

For the block does not slide

F = mgsinΦ

=> μmgcosΦ = mgsinΦ

=> μcosΦ = sinΦ

=> μ = tanΦ

So the block does not slide if the co-efficient of the friction will be tanΦ